新式光子晶體波導濾波器之研究

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姓名

高得峰(Te-Feng Kao) 查詢紙本館藏

畢業系所

光電科學研究所碩士在職專班

論文名稱

新式光子晶體波導濾波器之研究
(The study of new photonic filter)

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★ 平面波展開法在光子晶體之應用	★ 偏平面光子晶體能帶之研究
★ 通道選擇濾波器之探討	★ 廣義光子晶體元件之研究與分析
★ 廣義非均向性介質的光傳播研究	★ 光子晶體耦合濾波器之研究
★ 聲子晶體傳導帶與週期性彈性柱波導之研究	★ 對稱與非對稱波導光柵之特性研究
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★ 一維光子晶體等效非均向介值之研究	★ 手徵超材料之研究

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摘要(中)

本論文主要在探討如何藉著將光子晶體波導與各種不同型態之點缺陷耦合以產生濾波效果。藉由觀察不同結構之穿透率頻譜圖將可設計最佳化的寬頻濾波器。
論文之分析步驟如下。首先以平面波展開法求出所欲分析光子晶體之頻帶，以找出帶隙，接下來導入缺陷態，再使用多重散射法求出帶有缺陷光子晶體結構的頻率－穿透率圖及場圖，進而由頻率－穿透率圖可求出點缺陷共振腔的Q factor，最後針對模擬的結果分析各結構的場圖狀況、缺陷所造成頻率－穿透率圖的變化以及共振腔Q factor等等，以找出最佳的設計。
而思考邏輯基本上依循著Plan-Do-Check-Act的cycle持續對寬頻濾波器的濾波效果做改善。

摘要(英)

In this thesis we study the problem of how to design a wideband band-pass filter by using waveguide-defect coupling mechanism. The filter consists of a photonic crystal waveguide and several point defects. By observing the transmission-frequency curves of various configurations , we can modify the structure and finally find the optimized design of the filter.
The analytic procedure is as follows:
1. Using plane-wave expansion method to determine the photonic crystal structure’s band gap, which is the working frequency region for the defects and the waveguide.
2. Using multiple scattering method to determine the field pattern and transmission-frequency diagram for photonic structures with defects. We can calculate the cavity’s Q factor according to transmission-frequency diagram.
3. Finally, we analyze the simulation results of field patterns, the transmission-frequency diagram, and the relations between the defect sizes and transmission-frequency diagram and cavity’s Q factor to find the optimal design.
Basically, we follow the “Plan-Do-Check-Act” PDCA cycle to contineously improve the performance of the photonic band-pass filter.

關鍵字(中)

★ 平面波展開法
★ 光子晶體
★ 波導
★ 濾波器

關鍵字(英)

★ filter
★ waveguide
★ photonic

論文目次

摘要 …………………………………………………………….Ⅰ
誌謝 …………………………………………………………….Ⅲ
目錄 ………………………………………………………….. Ⅳ
圖目錄 ………………………………………………………. VI
表目錄 ………………………………………………………. IX
第一章　序論
1-1何謂光子晶體 ………………………………………………..1
1-2光子晶體能隙 ……………………………………………….2
1-3光子晶體缺陷 ……………………………………………….2
1-4光子晶體波導………………………………………………….3
第二章理論分析 ……………………………………………….5
2-1帶隙(Band Gap)形成原因及對於光子晶體的應用 ………6
2-1-1 帶隙形成原因 …………………………………………6
2-1-2帶隙對於光子晶體關係 ……………………………….8
2-2平面波展開法的理論基礎 ………………………………….9
2-3多重散射法的理論基礎 ……………………………………14
2-4光子晶體能流及穿透率值計算 ……………………………21
第三章　光子晶體波導及濾波功能研究 ……………………24
3-1 分析流程 ………………………………………………..24
3-2 各結構導入分析 ………………………………………..27
3-2-1 line defect 導入(waveguide) ………………...27
3-2-2 參考論文光子晶體結構導入 ………………………28
3-2-3 line defect (waveguide) + one missing hole ……31
3-2-4 line defect (waveguide) + three missing holes …32
3-2-5 frequency filter by missing rods ……………….35
3-2-6 frequency filter by shifting rods ……………….39
3-3 不同共振腔間的結合 ……………………………………….41
3-4偏移圓柱半徑及結合其共振腔所形成之濾波器 ………….45
3-4-1導入缺陷的影響 ………………………………………..47
3-4-2改變共振腔間距的影響 ………………………………..48
3-5 總整頻帶濾波器的設計 …………………………………….50
第四章結論及未來展望
4-1對於模擬中能流截取選擇的結論 ……………………………51
4-2結合不同光子晶體結構來拓寬頻帶方式的結論 ……………51
4-3採用光子晶體結構中改變圓柱半徑後再結合不同共振腔方式來拓寬頻帶方式的結論…………………………………………………51
4-4 PDCA cycle …………………………………………………52
4-5 未來展望 ……………………………………………………53
參考資料 ……………………………………………………… 54~56

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指導教授

欒丕綱(Pi-Gang Luan)

審核日期

2007-7-5

推文